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109519346640 = 243511311133391
BaseRepresentation
bin110010111111111011…
…1001001101111010000
3101110200120222020220210
41211333313021233100
53243243423043030
6122151255404120
710624664041464
oct1457767115720
9343616866823
10109519346640
11424a08a8130
1219285983640
13a434a59a32
14542d4264a4
152caed01bb0
hex197fdc9bd0

109519346640 has 160 divisors (see below), whose sum is σ = 371568218112. Its totient is φ = 26464576000.

The previous prime is 109519346627. The next prime is 109519346659. The reversal of 109519346640 is 46643915901.

It is a happy number.

It is a super-3 number, since 3×1095193466403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 109519346640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754345 + ... + 887735.

Almost surely, 2109519346640 is an apocalyptic number.

109519346640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109519346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185784109056).

109519346640 is an abundant number, since it is smaller than the sum of its proper divisors (262048871472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109519346640 is a wasteful number, since it uses less digits than its factorization.

109519346640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133729 (or 133723 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 109519346640 in words is "one hundred nine billion, five hundred nineteen million, three hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 311 330 440 528 622 660 880 933 1244 1320 1555 1866 2488 2640 3110 3421 3732 4665 4976 6220 6842 7464 9330 10263 12440 13684 14928 17105 18660 20526 24880 27368 34210 37320 41052 51315 54736 68420 74640 82104 102630 133391 136840 164208 205260 266782 273680 400173 410520 533564 666955 800346 821040 1067128 1333910 1467301 1600692 2000865 2134256 2667820 2934602 3201384 4001730 4401903 5335640 5869204 6402768 7336505 8003460 8803806 10671280 11738408 14673010 16006920 17607612 22009515 23476816 29346020 32013840 35215224 41484601 44019030 58692040 70430448 82969202 88038060 117384080 124453803 165938404 176076120 207423005 248907606 331876808 352152240 414846010 456330611 497815212 622269015 663753616 829692020 912661222 995630424 1244538030 1368991833 1659384040 1825322444 1991260848 2281653055 2489076060 2737983666 3318768080 3650644888 4563306110 4978152120 5475967332 6844959165 7301289776 9126612220 9956304240 10951934664 13689918330 18253224440 21903869328 27379836660 36506448880 54759673320 109519346640